13905280 has 32 divisors (see below), whose sum is σ = 33243840. Its totient is φ = 5561856.

The previous prime is 13905251. The next prime is 13905293. The reversal of 13905280 is 8250931.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10224 + ... + 11503.

It is an arithmetic number, because the mean of its divisors is an integer number (1038870).

Almost surely, 2^13905280 is an apocalyptic number.

13905280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13905280 is an abundant number, since it is smaller than the sum of its proper divisors (19338560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13905280 is an equidigital number, since it uses as much as digits as its factorization.

13905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21746 (or 21734 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 13905280 is about 3728.9784123805. The cubic root of 13905280 is about 240.4694515020.

It can be divided in two parts, 1390 and 5280, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 13905280 in words is "thirteen million, nine hundred five thousand, two hundred eighty".